GED Math : 2-Dimensional Geometry

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #531 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=115^{o}\)

Possible Answers:

\(\displaystyle m\angle B=21^{o}\)

\(\displaystyle m\angle B=205^{o}\)

\(\displaystyle m\angle B=5^{o}\)

\(\displaystyle m\angle B=65^{o}\)

Correct answer:

\(\displaystyle m\angle B=65^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-115^{o}=65^{o}\)

This gives us a final answer of 65 degrees for angle B.

Example Question #532 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=97^{o}\)

Possible Answers:

\(\displaystyle m\angle B=83^{o}\)

\(\displaystyle m\angle B=113^{o}\)

\(\displaystyle m\angle B=21^{o}\)

\(\displaystyle m\angle B=38^{o}\)

Correct answer:

\(\displaystyle m\angle B=83^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-97^{o}=83^{o}\)

This gives us a final answer of 83 degrees for angle B.

Example Question #533 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=8^{o}\)

Possible Answers:

\(\displaystyle m\angle B=83^{o}\)

\(\displaystyle m\angle B=172^{o}\)

\(\displaystyle m\angle B=183^{o}\)

\(\displaystyle m\angle B=122^{o}\)

Correct answer:

\(\displaystyle m\angle B=172^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-8^{o}=172^{o}\)

This gives us a final answer of 172 degrees for angle B.

Example Question #534 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=129^{o}\)

Possible Answers:

\(\displaystyle m\angle B=51^{o}\)

\(\displaystyle m\angle B=122^{o}\)

\(\displaystyle m\angle B=42^{o}\)

\(\displaystyle m\angle B=35^{o}\)

Correct answer:

\(\displaystyle m\angle B=51^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-129^{o}=51^{o}\)

This gives us a final answer of 51 degrees for angle B.

Example Question #535 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=88^{o}\)

Possible Answers:

\(\displaystyle m\angle B=51^{o}\)

\(\displaystyle m\angle B=92^{o}\)

\(\displaystyle m\angle B=12^{o}\)

\(\displaystyle m\angle B=122^{o}\)

Correct answer:

\(\displaystyle m\angle B=92^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-88^{o}=92^{o}\)

This gives us a final answer of 92 degrees for angle B.

Example Question #536 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=137^{o}\)

Possible Answers:

\(\displaystyle m\angle B=51^{o}\)

\(\displaystyle m\angle B=43^{o}\)

\(\displaystyle m\angle B=24^{o}\)

\(\displaystyle m\angle B=36^{o}\)

Correct answer:

\(\displaystyle m\angle B=43^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-137^{o}=43^{o}\)

This gives us a final answer of 43 degrees for angle B.

Example Question #537 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=106^{o}\)

Possible Answers:

\(\displaystyle m\angle B=74^{o}\)

\(\displaystyle m\angle B=24^{o}\)

\(\displaystyle m\angle B=66^{o}\)

\(\displaystyle m\angle B=12^{o}\)

Correct answer:

\(\displaystyle m\angle B=74^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-106^{o}=74^{o}\)

This gives us a final answer of 74 degrees for angle B.

Example Question #538 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=34^{o}\)

Possible Answers:

\(\displaystyle m\angle B=122^{o}\)

\(\displaystyle m\angle B=12^{o}\)

\(\displaystyle m\angle B=118^{o}\)

\(\displaystyle m\angle B=146^{o}\)

Correct answer:

\(\displaystyle m\angle B=146^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-34^{o}=146^{o}\)

This gives us a final answer of 146 degrees for angle B.

Example Question #539 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=142^{o}\)

Possible Answers:

\(\displaystyle m\angle B=18^{o}\)

\(\displaystyle m\angle B=88^{o}\)

\(\displaystyle m\angle B=38^{o}\)

\(\displaystyle m\angle B=118^{o}\)

Correct answer:

\(\displaystyle m\angle B=38^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-142^{o}=38^{o}\)

This gives us a final answer of 38 degrees for angle B.

Example Question #540 : 2 Dimensional Geometry

Find the measure of angle B if it is the supplement to angle A:

\(\displaystyle m\angle A=23^{o}\)

Possible Answers:

\(\displaystyle m\angle B=18^{o}\)

\(\displaystyle m\angle B=157^{o}\)

\(\displaystyle m\angle B=89^{o}\)

\(\displaystyle m\angle B=113^{o}\)

Correct answer:

\(\displaystyle m\angle B=157^{o}\)

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

\(\displaystyle m\angle B=180^{o}-23^{o}=157^{o}\)

This gives us a final answer of 157 degrees for angle B.

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